Pith Number

pith:YCPMVRWO

pith:2015:YCPMVRWOPG5ZB4UZ2JGMYBFIHB

not attested not anchored not stored refs pending

Symmetric quotient stacks and Heisenberg actions

Andreas Krug

arxiv:1501.07253 v1 · 2015-01-28 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCPMVRWOPG5ZB4UZ2JGMYBFIHB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:28:29.798886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09ecac6ce79bb90f299d24ccc04a838669ce06f6d2bf4ed1c71dcb82fdf599b

Aliases

arxiv: 1501.07253 · arxiv_version: 1501.07253v1 · doi: 10.48550/arxiv.1501.07253 · pith_short_12: YCPMVRWOPG5Z · pith_short_16: YCPMVRWOPG5ZB4UZ · pith_short_8: YCPMVRWO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YCPMVRWOPG5ZB4UZ2JGMYBFIHB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c09ecac6ce79bb90f299d24ccc04a838669ce06f6d2bf4ed1c71dcb82fdf599b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf57aab4cb7976515b54fa1265d99f74dcc41531fa1c2fb388dadfc0a4ab2e1d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-28T19:47:20Z",
    "title_canon_sha256": "5fc5df77a59a2b3b3b619decd8e109e76400096b749b536cf5b38a7b5f426054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07253",
    "kind": "arxiv",
    "version": 1
  }
}